[Gonso]

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By raising a greater amount with AK - one also tell the other players one has AK. They can thus play against one perfectly.

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No, they can't, because as I pointed out you're raising generally larger amounts against this crowd in general. It's a good way to take advantage of these players, and it's aimed to get you more value on your good hands.

There's almost always going to be more value in raising AK preflop than just calling with it. These players are playing too many hands too loosely, exploit them for it. It's easy to lose a lot of money with TPTK in an unraised pot with AK, especially if there are three other players in the pot.

You can obviously mix it up now and again, but as this situation is described there's really no need to try to get too fancy. Your complex deception schemes are going to be worthless against loose-weak type players who are generally pretty bad players. Keep in mind that it's harder to make a monster hidden hand you can get paid with when you have AK (as opposed to a hand like 44 flopping a set, or making a odd straight with 76, which are less obvious).

Now, defining your range here isn't always the end of the world anyway. You can fold a few pairs with a decent 3-bet, and tons of hands whose live cards are still not that far behind you. Taking down the pot preflop is just fine with AK, and frankly there are tons of occasions where you can play it for stacks preflop as well.